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Finding the Third Proportional to 411,272 and 952,020

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Solution

The third proportional to 411,272 and 952,020 is: 2,203,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,272 : 952,020 = 952,020 : x
  2. Step 2: Convert to fraction form
    411,272/952,020 = 952,020/x
  3. Step 3: Cross multiply
    411,272x = 952,020 × 952,020
  4. Step 4: Simplify right side
    411,272x = 906,342,080,400
  5. Step 5: Solve for x
    x = 906,342,080,400/411,272
  6. Step 6: Final answer
    x = 2,203,753.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.